The generator matrix

 1  0  1  1  1 12  1  2  1  1  6 12  1  1
 0  1  1  0 11  1  6  2  6  7  1  1  3 12
 0  0  2  6  0  2  0  2  4  6 12 14  8  6
 0  0  0 12  0  0  4 12  4  8  8  0 12  4
 0  0  0  0 12 12  4  4  8  4 12  0 12 12

generates a code of length 14 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+46x^9+241x^10+832x^11+2686x^12+7310x^13+10506x^14+7330x^15+2740x^16+818x^17+197x^18+44x^19+12x^20+2x^21+2x^23+1x^24

The gray image is a code over GF(2) with n=112, k=15 and d=36.
This code was found by Heurico 1.16 in 1.23 seconds.